CALC A uniform wire with mass M and length L is bent into a semicircle. Find the magnitude and direction of the gravitational force this wire exerts on a point with mass m placed at the center of curvature of the semicircle.

Solution to 82P Step 1 of 3 Introduction, A wire of length L and mass M is bent to form a semicircle. A point mass is kept at the centre of curvature which is also the centre of the semicircle. We need to find the force that the semicircle exerts on the point mass. We would consider a infinitesimal mass dM and calculate the force exerted on the point mass and then integrate the force for the entire semicircle. Step 2 of 3 Mass per unit length=(M/L)